Modeling the Macroscopic Behavior of Two-phase Nonlinear Composites by Infinite-rank Laminates

M. I. IDIART

Filadelfia (PA)

Conferencia; SIAM Conference on Mathematical Aspects of Materials Science; 2008

Society of Industrial and Applied Mathematics

A new approach is presented for estimating the macroscopic behavior of two-phase nonlinear composites with random, particulate microstructures, based on infinite-rank sequential laminates. The resulting estimates incorporate microstructural information up to the two-point correlation functions, and are guaranteed to be convex, to satisfy all pertinent bounds, and to be exact to second order in the heterogeneity contrast. Comparisons are presented with earlier homogenization estimates, as well as with numerical simulations available from the literature.